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prisoha [69]
1 year ago
7

A ship is stationary at sea.

Mathematics
1 answer:
puteri [66]1 year ago
7 0

Bearing is a topic that deals with the <em>distance</em> and<em> location</em> of a given object with respect to a <u>reference</u> point. Thus in the given question, the ship is <u>57.23 km</u> to the yacht.

<em>Bearing</em> is a topic that considers the <u>distance</u> and <u>position</u> of a given object with respect to a<em> reference</em> point. Thus the <u>angles</u> are usually measured with <em>reference</em> to the north pole.

Thus to solve the given question, let the required <em>distance</em> be represented by x.

Applying the <em>cosine rule</em>, we have;

c^{2} = a^{2} + b^{2} - 2ab Cos C

The angle C between the line from <u>ship to tugboat</u> and from <u>tugboat to yacht</u> can be determined as;

C = 10^{o} + 40^{o}

C = 50^{o}

Thus,

c^{2} = 36^{2} + 27^{2} + 2(36 x 27) Cos 50^{o}

  = 1296 + 729 + 1944(0.6429)

  = 2025 + 1249.8

c^{2} = 3274.8

c = \sqrt{3274.8}

  = 57.2259

c = 57.23

Therefore, the <em>distance</em> from the ship to the yacht is <u>57.23 km</u>.

For more clarifications on Bearing, visit: brainly.com/question/22013596

#SPJ1

Kindly contact a 1-on-1 tutor if more explanations are needed.

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